Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a
0.010.01
significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that difference have practical significance?
Day |
HomeHome left parenthesis volts right parenthesis(volts) |
GeneratorGenerator left parenthesis volts right parenthesis(volts) |
Day |
HomeHome left parenthesis volts right parenthesis(volts) |
GeneratorGenerator left parenthesis volts right parenthesis(volts) |
|
---|---|---|---|---|---|---|
1 |
123.3123.3 |
124.9124.9 |
21 |
123.8123.8 |
124.9124.9 |
|
2 |
123.7123.7 |
124.9124.9 |
22 |
123.7123.7 |
124.4124.4 |
|
3 |
123.2123.2 |
124.8124.8 |
23 |
123.6123.6 |
124.5124.5 |
|
4 |
123.0123.0 |
124.3124.3 |
24 |
123.7123.7 |
124.1124.1 |
|
5 |
123.9123.9 |
124.7124.7 |
25 |
123.2123.2 |
124.1124.1 |
|
6 |
123.6123.6 |
124.5124.5 |
26 |
123.8123.8 |
124.4124.4 |
|
7 |
123.6123.6 |
125.1125.1 |
27 |
123.1123.1 |
124.5124.5 |
|
8 |
123.3123.3 |
124.4124.4 |
28 |
123.9123.9 |
124.8124.8 |
|
9 |
123.5123.5 |
124.1124.1 |
29 |
123.6123.6 |
124.4124.4 |
|
10 |
123.6123.6 |
124.7124.7 |
30 |
123.9123.9 |
124.1124.1 |
|
11 |
123.8123.8 |
124.6124.6 |
31 |
123.1123.1 |
124.3124.3 |
|
12 |
123.6123.6 |
124.7124.7 |
32 |
123.9123.9 |
124.2124.2 |
|
13 |
123.4123.4 |
124.5124.5 |
33 |
123.3123.3 |
124.1124.1 |
|
14 |
124.0124.0 |
124.8124.8 |
34 |
123.9123.9 |
124.8124.8 |
|
15 |
123.6123.6 |
124.1124.1 |
35 |
123.8123.8 |
124.4124.4 |
|
16 |
123.8123.8 |
124.5124.5 |
36 |
123.4123.4 |
124.9124.9 |
|
17 |
123.9123.9 |
124.7124.7 |
37 |
123.5123.5 |
124.7124.7 |
|
18 |
123.3123.3 |
124.7124.7 |
38 |
123.9123.9 |
124.6124.6 |
|
19 |
123.5123.5 |
124.6124.6 |
39 |
123.5123.5 |
124.4124.4 |
|
20 |
123.9123.9 |
124.4124.4 |
40 |
123.1123.1 |
124.4 |
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